Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge

Abstract

We construct a covariant closed string field theory by extending recent works on the covariant open string field theory in the proper-time gauge. Rewriting the string scattering amplitudes generated by the closed string field theory in terms of the Polyakov string path integrals, we identify the Fock space representations of the closed string vertices. We show that the Fock space representations of the closed string field theory may be completely factorized into those of the open string field theory. It implies that the well known Kawai-Lewellen-Tye (KLT) relations of the first quantized string theory may be promoted to the second quantized closed string theory. We explicitly calculate the scattering amplitudes of three gravitons by using the closed string field theory in the proper-time gauge.

5 pages, 1 figure, Talk given at 13th International Conference on Gravitation, Astrophysics, and Cosmology

References in corpus (2)

• Deformation of the Cubic Open String Field Theory
• String Scattering Amplitudes and Deformed Cubic String Field Theory

Cited by in corpus (5)

• Covariant Open String Field Theory on Multiple $Dp$-Branes
• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• NSR Open Super-string in the proper-time gauge I: Free Field Theory
• BRST Ghost-Vertex Operator in Witten's Cubic Open String Field Theory on Multiple $Dp$-branes